Applied mathematics : a contemporary approach

Author(s)

• Logan, J. David (John David)

Bibliographic Information

Applied mathematics : a contemporary approach

J. David Logan

J. Wiley, c1987

Note

"A Wiley-Interscience Publication."

Includes bibliographies and index

Description and Table of Contents

Description

This text presents, for the first time at an elementary level, current topics in applied mathematics such as singular perturbation, nonlinear wave propagation, bifurcation, similarity methods and the numerical solution of partial differential equations. It emphasizes the interdependency of mathematics and its application to physical phenomena, and is written in a style accessible to readers with a wide range of interests and backgrounds. There is also coverage of scaling and dimensional analysis, calculus of variations, Fourier and transform methods for partial differential equations and intergral equations.

Table of Contents

• DIMENSIONAL ANALYSIS AND SCALING: Dimensional Analysis
• The Buckingham Pi Theorem
• Scaling
• PERTURBATION METHODS: Regular Perturbation
• Singular Perturbation
• Boundary Layer Analysis
• Two Applications
• CALCULUS OF VARIATIONS: Variational Problems
• Necessary Conditions for Extrema
• The Simplest Problem
• Generalizations
• Hamiltonian Theory
• Isoperimetric Problems
• EQUATIONS OF APPLIED MATHEMATICS: Partial Differential Equations
• The Diffusion Equation
• Classical Techniques
• Integral Equations
• WAVE PHENOMENA IN CONTINUOUS SYSTEMS: Wave Propagation
• Mathematical Models of Continua
• The Wave Equation
• Gasdynamics
• Fluid Motions in R3
• STABILITY AND BIFURCATION: Intuitive Ideas
• One Dimensional Problems
• Two Dimensional Problems
• Hydrodynamic Stability
• SIMILARITY METHODS
• Invariant Variational Problems
• Invariant Partial Differential Equations
• The General Similarity Method
• DIFFERENCE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS: Finite Difference Methods
• The Diffusion Equation
• The Laplace Equation
• Hyperbolic Equations
• Index.

by "Nielsen BookData"

Details

• NCID: BA01252964
• ISBN:
  • 0471850837
• LCCN: 87013318
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: xviii, 572 p.
• Size: 24 cm
• Classification:
  • LCC : QA37.2
  • DC19 : 510
• Subject Headings:
  • LCSH : Mathematics -- 1961-